Download E-books Harmonic Analysis of Spherical Functions on Real Reductive Groups (Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge) (Volume 101) PDF

By Ramesh Gangolli

Research on Symmetric areas, or extra quite often, on homogeneous areas of semisimple Lie teams, is a topic that has gone through a lively improvement in recent times, and has develop into a valuable a part of modern arithmetic. this is often simply to be anticipated, considering homogeneous areas and workforce representations come up evidently in different contexts starting from quantity thought and Geometry to Particle Physics and Polymer Chemistry. Its explosive development occasionally makes it tricky to achieve that it's really rather younger as mathematical theories cross. The early rules within the topic (as is the case with many others) return to Elie Cart an and Hermann Weyl who studied the compact symmetric areas within the 1930's. even if its complete improvement didn't commence until eventually the 1950's whilst Gel'fand and Harish­ Chandra dared to dream of a idea of representations that incorporated all semisimple Lie teams. Harish-Chandra's concept of round capabilities used to be primarily whole within the overdue 1950's, and was once to end up to be the forerunner of his enormous paintings on harmonic research on reductive teams that has encouraged a complete new release of mathematicians. it's the harmonic research of round services on symmetric areas, that's on the concentration of this publication. the elemental questions of harmonic research on symmetric areas contain an interaction of the geometric, analytical, and algebraic points of those areas. they've got for this reason attracted loads of cognizance, and there were many glorious expositions of the subjects which are attribute of this topic.

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Read or Download Harmonic Analysis of Spherical Functions on Real Reductive Groups (Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge) (Volume 101) PDF

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